what is the radius of a circle with an area of 212 in squared. please please simplify for me....​

Answers

Answer 1

Answer:

8.22in

Step-by-step explanation:

Area of circle = πr²

r is the radius

Given

Area = 212in²

Substitute

212 = πr²

r² = 212/3.14

r² = 67.52

r = √67.52

r = 8.22in

hence the radius of the circle is 8.22in


Related Questions

If angle a= 143 degrees and angle c = 61 degrees, in what is the measure of angle b?

Answers

The answer is 82 is the correct answer

Kevin was thinking of number Kevin adds 5 to it,then doubles and gets an answer of 48.4. What was original numbers

Answers

19.2 begntehegnwfbsfbwtgrw

A scientist digs near an ancient city.
She finds a cup buried at -7 feet. She finds a plate buried at -4 feet.
Use absolute value to show which was buried farther from the surface.
A. The cup is farther from the surface, because |-7 is less than 1-4).
B. The cup is farther from the surface, because |-71 is greater than |-
4.
C. The plate is farther from the surface, because (-71 is greater than
1-41.
D. The plate is farther from the surface, because -7 is greater than -
4.
My

Answers

Answer:

c

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Evaluate.
1 to the power of 3

Answers

1 because 1 times 1 times 1 equals 1

Answer:

3

Step-by-step explanation:

ndnsjsjwnanaksodbsjcif

What is the probability you will get one tail? Toss a coin three times

Answers

Answer:

3/8

Step-by-step explanation:

We want the probability of getting a tail in three trials.

We will use binomial distribution, given by the formula:

[tex]\displaystyle P(x)={n\choose x}p^xq^{n-x}[/tex]

We want one success out of three trials. So, n = 3 and x = 1.

The probability for success in one trial is 1/2. So, p = 1/2.

And the probability for failure in one trial is 1/2. q = 1/2.

Therefore, the probability of getting a tail is:

[tex]\displaystyle P(1)={3\choose 1}\Big(\frac{1}{2}\Big)\Big(\frac{1}{2}\Big)^2[/tex]

Evaluate:

[tex]\displaystyle P(1)=3\Big(\frac{1}{8}\Big)=\frac{3}{8}[/tex]

The probability of getting a tail by tossing a coin thrice is 3/8.

Edit:

My apologies. If you haven't learned the binomial distribution yet, below is another method.

Using the fundamental counting principle, we have a total of 2 times 2 times 2 or 8 total outcomes.

We want only one tail. This can be the first toss, the second toss, or the third toss.

So, out of 8 total outcomes, only 3 are favorable.

Hence, the probability of getting one tail by tossing a coin thrice is 3/8.

Please help me with these math problems! I have had so much going on lately and haven't had time to do them
Will give lots of points and make brainliest please help

Answers

tanx =60/70
For more explanation
....

Sarah buys 8 packages, each with 20 balloons, and uses 1/4 of them to decorate the hall.

Write and evaluate an expression to find how many balloons Sarah has left.​

Answers

Answer:

(8 × 20) ÷ 4

40

Step-by-step explanation:

8 × 20 = 160

160/4 = 40

The fraction is defined as a number in the form of a/b where a nd b are integers and b is not equal to zero. Sarah has left with 120 balloons.

What is a Fraction?

A fraction is used to represent a portion or part of anything. It consists of two parts a numerator and a denominator. For example 1/4 is a fraction where numerator is 1 and denominator is 4.

The total number of packages = 8

Number of balloons in each package = 20.

The portion of balloons use to decorate hall = 1/4.

Suppose the remaining balloons are x.

Thus the expression for remaining balloons can be written as,

x = 20 × 8 - 1/4×(20 × 8)

x = 160 - 40

  = 120.

Hence, Sarah has left with 120 balloons and the expression for left balloons is x = 20 × 8 - 1/4×(20 × 8).

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please help!! i’m stuck and i’ll give brainliest but i need an explanation for the answer

Answers

9514 1404 393

Answer:

  -12

Step-by-step explanation:

The average rate of change of a function f(x) on an interval [a, b] is defined as ...

  average rate of change = ((f(b) -f(a))/(b -a)

For the given function and interval, this is ...

  average rate of change = (f(1.25) -f(0.75))/(1.25 -0.75)

  = (4 -10)/(0.5) = -12

The average rate of change is -12 on the interval.

__

The calculator results for f(1.25) and f(0.75) are shown in the attachment, along with the computation of the average rate of change.

Factor the trinomial. Factor out the GCF first.
11x^2 + 33x + 22

Answers

Step-by-step explanation:

11x² + 33x + 22

= 11(x² + 3x + 2)

= 11(x + 1)(x + 2).

FOR 20 points

Show your work neatly for each problem.
1. Michelle and Cameron are selling popcorn for a school fundraiser. Michelle sold 10 tins of cheese
popcorn and 8 tins of caramel popcorn for a total of $446. Cameron sold 22 tins of cheese popcorn and
11 tins of caramel popcorn for a total of $803. Write a system of equations to determine the cost one tin
of cheese popcorn and one tin of caramel popcorn. Show all your work.

Answers

Answer:

one tin of cheese $23

one tin of caramel $27

Step-by-step explanation:

let 'x' = cost of cheese tin

let 'y' = cost of caramel tin

10x + 8y = 446

22x + 11y = 803

i multiplied the first equation by -11 and the second by 8 to eliminate the 'y' terms

  -110x - 88y = -4906

+  176x + 88y = 6424

    66x = 1518

     x = 1518 / 66

     x = 23

find 'y':  10(23) + 8y = 446

             230 + 8y = 446

              8y = 216

               y = 27

3 4/5 • 3 1/2 divide reduce to the lowest term

Answers

Answer:

133/10

Step-by-step explanation:

first turn into proper fraction

19/5 * 7/2 = 133/10

Find the missing value in the ratio table.. Please help me

Answers

It is 160 multiplying the left by 8 then the right is the answer

را آزرا
What is the value of x in the proportion?

Answers

Answer:

Step-by-step explanation:

Cross multiply on both sides

= (x + 1) (21) = 15(x + 3)

= 21x + 21 = 15x + 45

Bringing like terms on one side

21x - 15x = 45 - 21

= 6x = 24

x = 24/6 = 4

Option A is the correct answer

The correct option :

[tex] =\tt (a) \: 4[/tex]

Steps to derive correct option :

[tex] = \frac{x + 1}{x + 3} = \frac{15}{21} [/tex]

[tex] =( x + 1 )\times 21 = (x + 3 )\times 15[/tex]

[tex] = 21x + 21 = 15x + 45[/tex]

[tex] = 21x + 21 - 15x = 45[/tex]

[tex] = 6x + 21 = 45[/tex]

[tex] = 6x = 45 - 21[/tex]

[tex] = 6x = 24[/tex]

[tex] = x = \frac{24}{6} [/tex]

[tex] =\color{plum} \bold{x = 4}[/tex]

Let us now place 4 in the place of x and see if the substitution is equivalent to [tex] \frac{15}{21} [/tex] :

[tex] = \frac{4 + 1}{4 + 3} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15}{21} [/tex]

[tex] = \frac{5}{7} = \frac{15÷3}{21÷3} [/tex]

[tex] = \frac{5}{7} = \frac{5}{7} [/tex]

Therefore, the value of x in this proportion = 4

Use synthetic division to solve (x3 + 1) = (x - 1). What is the quotient?
o x2+x+1+12
O x2 - X+1
O x2+x+1+421
x - x² + x

Answers

Answer:

x² + x + 1 and remainder 2

Step-by-step explanation:

Given

(x³ + 1) ÷ (x - 1)

Without using a synthetic division, we can use easier method to find the quotient.

We know the formula:

x³ - 1 = (x - 1)(x² + x + 1)

Rewrite the given as:

x³ + 1 = x³ - 1 + 2 = (x - 1)(x² + x + 1) + 2

This expression, when divided by (x - 1) leave the quotient (x² + x + 1) and a remainder of 2

The quotient of the equation is A = x³ + x + 1 + ( 2/x + 1 )

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the first equation be p = x³ + 1

Let the second equation be q = x - 1

A = p / q

On simplifying , we get

A = x³ + 1 / ( x - 1 )

On dividing , we get the quotient as

A = x² + ( x² + 1 ) / ( x - 1 )

A = x³ + x + 1 + ( 2/x + 1 )

Hence , the quotient is A = x³ + x + 1 + ( 2/x + 1 )

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Delaney wants to start saving money to buy a 3-D printer. If she needs to save at least $300.00 to pay for it and has decided to save $15.00 per week from doing chores around the house. Which inequality can be used to find how many weeks will it be before she can purchase the 3-D printer?


15x\geq 30015x≥300


\frac{x}{300} \geq 15
300
x

≥15


15x \leq 30015x≤300


\frac{x}{300} \leq 15
300
x

≤15

Answers

Answer:

20 weeks

Step-by-step explanation:

30/15=2

300/15=20

20 weeks

Brian goes to school 6 hours per day, and sleeps for 9 hours per day. What is the ratio of hours Brian works to hours Brian sleeps?​

Answers

Answer:

6:4:9 Yw❤️

Step-by-step explanation:

Lucas is selling ribbons to raise money for the Juvenile Diabetes Research Foundation. His expenses include $46 for materials, plus $0.02 per ribbon. If Lucas charges $0.25 per ribbon, how many ribbons does he need to sell to break even

Answers

Answer:

He needs to sell 200 ribbons to break even.

Step-by-step explanation:

The break even point is where the expenses are equal to the earnings, so you can write an expression that indicates that Lucas' expenses are equal to his earnings:

46+0.02x=0.25x

Now, you can solve for x to find the answer:

46=0.25x-0.02x

46=0.23x

x=46/0.23

x=200

According to this, the answer is that he needs to sell 200 ribbons to break even.

Mary French uses gas to heat her home. She has accumulated the following information regarding her monthly gas bill and monthly heating degree-days. The heating degree-days value for a month is found by first subtracting the average temperature for each day from 65 degrees and then summing these daily amounts together for the month. Month Heating Degree-Days Gas Bill February 1,900 $195 April 600 $78 The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is:

Answers

Answer:

[tex]Y=$24+0.09X[/tex]

Step-by-step explanation:

From the question we are told that

February Heat [tex]H_1=1900\textdegree[/tex]

February Gas [tex]G_1 =\$195[/tex]

April Heat [tex]H_2=600\textdegree[/tex]

April Gas [tex]G_2=\$78[/tex]

Generally equation for heating degree-days X is mathematically given by

 [tex]X=\frac{\triangle gas\ bills}{\triangle Heating\ days}[/tex]

 [tex]X=\frac{195-78}{1900-600}[/tex]

 [tex]X=\$ 0.09[/tex]

Generally the equation for gas bill Y is mathematically represented by

 [tex]Y=78-(600*0.09)\\Y=\$24[/tex]

The equation representing the relationship between the gas bill (Y) and heating degree-days (X) is

 [tex]Y=$24+0.09X[/tex]

Stella is saving money for a P750
.00 schoolbag. if she saved 25% of the money she needed,how many money did she save?

Answers

Answer:

Stella saved $187.5

Step-by-step explanation:

She needs $750.00 to buy the schoolbag.

She has saved 25% of the money she needs. So

0.25*750 = $187.5

Stella saved $187.5

Consider the expression 5x-20. Write an expression that if set equal to 5x-20 would result in the equation having no solution.

Answers

Answer:

5x=5x-20 or -20=5x-20

Step-by-step explanation:

Samples of a cast aluminum part are classified on the basis of surface finish (in microinches) and edge finish. The results of 102 parts are summarized as follows: edge finish excellent good surface finish excellent 84 4 good 5 9 Let A denote the event that a sample has excellent surface finish, and let B denote the event that a sample has excellent edge finish. If a part is selected at random, determine the following probabilities. Round your answers to three decimal places (e.g. 98.765). (a) Upper P left-parenthesis Upper A right-parenthesis equalsEntry field with correct answer .8627 (b) Upper P left-parenthesis Upper B right-parenthesis equalsEntry field with correct answer .8725 (c) Upper P left-parenthesis Upper A prime right-parenthesis equalsEntry field with correct answer .1372 (d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equalsEntry field with correct answer .8235 (e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equalsEntry field with correct answer .9117 (f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equalsEntry field with incorrect answer .9214

Answers

Answer:

a) P (A)= 88/102= 0.8627

(b) P (B)=  89/102= 0.8725

c) P (A`) =  14/102 = 0.1372

(d) P (A∩B) = 84/102 =0.8235

(e) P(AUB)= 93/102 = 0.9117

(f)P (A`UB) = 98/102= 0.96078

Step-by-step explanation:

                                                                   edge                  

                                                  finish excellent       good           Total

(A )surface finish excellent            84                      4                  88

good                                    ( B) ⇵    5                       9                  14

Total                                               89                      13                102

a) Upper P left-parenthesis Upper A right-parenthesis equals

P (A)= 88/102= 0.8627

All the elements of set A = 84+4= 88

(b) Upper P left-parenthesis Upper B right-parenthesis equals

P (B)=  89/102= 0.8725

All the elements of set B = 84+5= 89

c) Upper P left-parenthesis Upper A prime right-parenthesis equal

P (A`) =  14/102 = 0.1372

All the elements of Universal set U which are not elements of set A = 102- 88= 14

(d) Upper P left-parenthesis Upper A intersection Upper B right-parenthesis equals

P (A∩B) = 84/102 =0.8235

Only those elements of set A and set B which are common

(e) Upper P left-parenthesis Upper A union Upper B right-parenthesis equals

P(AUB)= 93/102 = 0.9117

Totalling elements of set A and B= 88+5= 93

(f) Upper P left-parenthesis Upper A prime union Upper B right-parenthesis equals

P (A`UB) = 98/102= 0.96078

All the elements of Universal set U which are not elements of set A and the elements of Set B = 5+9+ 84= 98

5. Mason's mom bought g games online. The games cost $12 each plus a $7 shipping fee. Write an expression to represent how much Mason's mom spent for the games.​

Answers

It doesn’t say how many games the mom bought or how much she spent

There are 7 trucks for every 5 cars . If there are 21 trucks, how many cars are there?

Answers

Answer:

15 cars

Step-by-step explanation:

If there are 7 trucks for every 5 cars, the ratio is 7:5. So if there are 21 trucks, that's 7 x 3, which means we also multiply 5 by 3 = 15

I think that there would be 15 cars

graph y < X- 2, Y > -4X-1​

Answers

ok i need 20 characters

If 8 people can be seated at a dinner table, how many tables are required to seat 48 people?

Answers

Answer:

6 tables

Step-by-step explanation:

8 multiply by 6 gives you 48

Suppose restaurant​ A's chicken salad contains 6more grams of fat than restaurant​ B's chicken salad. Find the number of grams of fat in each salad if there are 56grams of fat in the two salads by solving the equation x plus (x plus 6 )equals 56​,where xrepresents the number of fat grams in the restaurant​ B's chicken salad and x plus 6represents the number of fat grams in restaurant​ A's chicken salad.

Answers

Answer:

Restaurant A: 31 grams of fat

Restaurant B: 25 grams of fat

Step-by-step explanation:

[tex]x + (x + 6) = 56\\2x + 6 = 56\\2x = 50\\x = 25[/tex]

80.6 divided by 6 please answer

Answers

Answer:

13.433333333

Step-by-step explanation:

13.4 I used a calculator.

If the sensor started working 15 minutes into the draining, how much was in the tank to begin with?

Answers

It has to be around 10 cm

HURRY i have 42:12 min left
Point A is located in which quadrant?
Quadrant l
Quadrant ll
Quadrant lll
Quadrant lV

Answers

Answer:

point a is located Quadrant11

Step-by-step explanation:

Answer:

Need picture to give correct quadrant

Step-by-step explanation:

Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separated list.)
6x + 7

Answers

X is a term and 6 and 7 are coefficients
I’m not gonna make it to do you
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